67056 has 40 divisors (see below), whose sum is σ = 190464. Its totient is φ = 20160.

The previous prime is 67049. The next prime is 67057. The reversal of 67056 is 65076.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465 + ... + 591.

2⁶⁷⁰⁵⁶ is an apocalyptic number.

67056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232).

67056 is an abundant number, since it is smaller than the sum of its proper divisors (123408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67056 is a wasteful number, since it uses less digits than its factorization.

67056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 67056 is about 258.9517329542. The cubic root of 67056 is about 40.6267936092.

The spelling of 67056 in words is "sixty-seven thousand, fifty-six".